Relecture

[GMRES2stage.git] / paper.tex

diff --git a/paper.tex b/paper.tex
index 6a83f5221e0d087a74df1fc7b2502da6cbc1f965..dd1ff68549fa8be6715b39216a1bfd2cf2c8dd47 100644 (file)
--- a/paper.tex
+++ b/paper.tex
@@ -621,8 +621,8 @@ outer solver periodically applies a least-squares minimization  on the residuals
 At each outer iteration, the sparse linear system $Ax=b$ is partially 
 solved using only $m$
 iterations of an iterative method, this latter being initialized with the 
 At each outer iteration, the sparse linear system $Ax=b$ is partially 
 solved using only $m$
 iterations of an iterative method, this latter being initialized with the 

-best known approximation previously obtained. 
-GMRES method~\cite{Saad86}, or any of its variants, can be used for instance as an
+last obtained approximation. 
+GMRES method~\cite{Saad86}, or any of its variants, can potentially be used as

 inner solver. The current approximation of the Krylov method is then stored inside a matrix
 $S$ composed by the successive solutions that are computed during inner iterations.
 
 inner solver. The current approximation of the Krylov method is then stored inside a matrix
 $S$ composed by the successive solutions that are computed during inner iterations.